Which inequality is true?

a number line going from negative 1 to 1.
one-half less-than one-third
three-fourths greater-than two-thirds
negative one-fourth less-than negative two-thirds
negative 1 greater-than three-fourths

Option C: Three-fourths greater-than two-thirds

Solution:

Option A: A number line going from negative 1 to 1.

Explanation: A number line is used to define a point in a given interval. And hence, a number line does not goes from negative 1 to 1.

Thus, this statement is false.

Option B: One-half less-than one-third

Explanation: The statement can be written as

which is not possible.

Hence, this inequality is false.

Option C: Three-fourths greater-than two-thirds

Explanation: The statement can be written as

which is true.

Hence, this inequality is true.

Option D: Negative one-fourth less-than negative two-thirds

Explanation: The statement can be written as

This is not possible.

Hence, this inequality is false.

Option E: Negative 1 greater-than three-fourths

Explanation: The statement can be written as

This is not possible.

Hence, this inequality is false.

step-by-step explanation: